Search a number
-
+
182905530048 = 26323712767577
BaseRepresentation
bin1010101001011000000…
…1001110011011000000
3122111010000000122011200
42222112001032123000
510444042303430143
6220005312141200
716133366232123
oct2522601163300
9574100018150
10182905530048
117062a44898a
122b546837800
131432b8a03b7
148bd1a503ba
154b5783b1d3
hex2a9604e6c0

182905530048 has 168 divisors, whose sum is σ = 542682696192. Its totient is φ = 58852749312.

The previous prime is 182905530043. The next prime is 182905530079. The reversal of 182905530048 is 840035509281.

182905530048 is a `hidden beast` number, since 1 + 8 + 2 + 90 + 553 + 0 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 182905529985 and 182905530012.

It is not an unprimeable number, because it can be changed into a prime (182905530043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2672836 + ... + 2740412.

It is an arithmetic number, because the mean of its divisors is an integer number (3230254144).

Almost surely, 2182905530048 is an apocalyptic number.

182905530048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182905530048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271341348096).

182905530048 is an abundant number, since it is smaller than the sum of its proper divisors (359777166144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

182905530048 is a wasteful number, since it uses less digits than its factorization.

182905530048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67759 (or 67746 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 182905530048 in words is "one hundred eighty-two billion, nine hundred five million, five hundred thirty thousand, forty-eight".